On modeling on a single-winding forced valve electromagnet in a circuit with a ballast resistor

We have built a mathematical model of starting up a forced U-shaped valve electromagnet of static voltage taking into account dynamic parameters and characteristics. The offered model takes into account the influence of eddy currents in the closed circuits of the magnetic system. At the first stage we have developed a mathematical model that allows to determine optimum dimensions, to minimize the mass of active materials (the total mass of copper for windings and ferromagnetic steel), that are used in construction of the electromagnet. Then, based on a known method of integration of the dynamic equations we have obtained an actuation model of the valve magnet taking onto account equivalent resistances of cores of both circular and rectangular cross-sections. Modeling of dynamic parameters and characteristics was done taking into account secondary con-tours without increasing order of differential equations. We list calculated values of dynamic parameters and characteristics of the electromagnet in a circuit with a balance resistor